In this note we consider the question under which conditions all entries of the matrix I-(I+X)-1 are nonnegative in case matrix X is a real positive definite matrix. Sufficient conditions are presented as well as some necessary conditions. One sufficient condition is that matrix X-1 is an inverse M-matrix. A class of matrices for which the inequality holds is presented.
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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number
120.
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